The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1
 0  2  0  2  0  4  2  6  0  4  6  6  4
 0  0  2  2  0  2  6  4  4  4  0  4  2
 0  0  0  4  4  4  0  4  4  4  4  0  0

generates a code of length 13 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+13x^10+42x^11+20x^12+112x^13+15x^14+36x^15+11x^16+3x^18+2x^19+1x^22

The gray image is a code over GF(2) with n=52, k=8 and d=20.
This code was found by Heurico 1.16 in 0.00148 seconds.